Video footage shows large groups of youths continuing to gather at the city's waterfront area, despite a police dispersal zone being put in place.
The zone was set up earlier this week and continues to run until Thursday, after repeated cases of anti-social behaviour in the hot weather.
In the most serious incident, a teenager was assaulted by yobs near the big wheel attraction at Kings Dock on Monday evening.
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The 15-year-old was assaulted by a gang of five other boys before being rushed to hospital. He suffered two cuts to his head which were later said to be not serious.
The victim told police one of the offenders had a knife. The group ran off after the incident, which happened near to the Wheel of Liverpool attraction.
Just hours before the boy was attacked, officers put a dispersal zone in place following incidents at the Wild Shore water park.
A 16-year-old boy from Walton was arrested after reports of a large group of children intimidating staff and parents at the Wild Shore water park and pushing young children in to the water.
There have been unconfirmed reports of criminal damage carried out by thugs at the attraction - which is open to paying customers only - along with abuse to staff, throwing canisters and bottles at their heads, trying to break into the paddle boards, spitting at the staff, and fighting.
The dispersal zone is in operation at the waterfront until 1am on Thursday (July 22).
It gives police officers and police community support traffic officers powers to direct people they suspect are causing or likely to cause crime, nuisance or anti-social behaviour to members of the public to leave a designated area and not return for up to 48 hours.
If anyone who has previously been directed to leave the area returns, an offence would be committed, which they may ultimately be arrested for.
Anyone with information on anti-social behaviour is asked to contact police via DM @MerPolCC, message ‘Merseyside Police Contact Centre on Facebook' or phone @CrimestoppersUK on 0800 555 111.
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